%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NUN072+2 : TPTP v9.2.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:00:50 PM UTC 2026
% Result : Theorem 1.42s 1.75s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 93 ( 52 unt; 0 def)
% Number of atoms : 252 ( 76 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 267 ( 108 ~; 87 |; 72 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 222 ( 14 sgn 48 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_4a,axiom,
! [X30] :
? [X31] :
( ? [X32] :
( r1(X32)
& r3(X30,X32,X31) )
& X31 = X30 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
fof(axiom_3,axiom,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(onetimestwoeqtwo,conjecture,
? [X39] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& ? [X19] :
( r1(X19)
& r2(X19,X16) ) )
& ? [X17] :
( r4(X17,X22,X39)
& ? [X34] :
( r1(X34)
& r2(X34,X17) ) ) )
& ? [X23] :
( X39 = X23
& ? [X25] :
( r2(X25,X23)
& ? [X31] :
( r1(X31)
& r2(X31,X25) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',onetimestwoeqtwo) ).
fof(axiom_1a,axiom,
! [X14,X15] :
? [X16] :
( ? [X17] :
( ? [X18] :
( r2(X15,X18)
& r3(X14,X18,X17) )
& X17 = X16 )
& ? [X19] :
( r2(X19,X16)
& r3(X14,X15,X19) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
fof(axiom_2a,axiom,
! [X20,X21] :
? [X22] :
( ? [X23] :
( ? [X24] :
( r2(X21,X24)
& r4(X20,X24,X23) )
& X23 = X22 )
& ? [X25] :
( r3(X25,X20,X22)
& r4(X20,X21,X25) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
fof(axiom_5a,axiom,
! [X33] :
? [X34] :
( ? [X35] :
( r1(X35)
& r4(X33,X35,X34) )
& ? [X36] :
( r1(X36)
& X34 = X36 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
fof(axiom_4,axiom,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
fof(c_0_9,plain,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_10,plain,
! [X125] :
( r1(esk14_1(X125))
& r3(X125,esk14_1(X125),esk13_1(X125))
& esk13_1(X125) = X125 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_4a])]) ).
fof(c_0_11,plain,
! [X97] :
( ( r1(X97)
| ~ r1(X97) )
& ( X97 = esk1_0
| ~ r1(X97) )
& ( r1(X97)
| X97 != esk1_0 )
& ( X97 = esk1_0
| X97 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])]) ).
fof(c_0_12,plain,
! [X6,X7] :
? [X8] :
! [X9] :
( ( ~ r3(X6,X7,X9)
& X9 != X8 )
| ( r3(X6,X7,X9)
& X9 = X8 ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_13,plain,
r3(X1,esk14_1(X1),esk13_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
esk13_1(X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
r1(esk14_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
fof(c_0_18,negated_conjecture,
~ ? [X39] :
( ? [X22] :
( ? [X16] :
( r2(X16,X22)
& ? [X19] :
( r1(X19)
& r2(X19,X16) ) )
& ? [X17] :
( r4(X17,X22,X39)
& ? [X34] :
( r1(X34)
& r2(X34,X17) ) ) )
& ? [X23] :
( X39 = X23
& ? [X25] :
( r2(X25,X23)
& ? [X31] :
( r1(X31)
& r2(X31,X25) ) ) ) ),
inference(assume_negation,[status(cth)],[onetimestwoeqtwo]) ).
fof(c_0_19,plain,
! [X101,X102,X104] :
( ( r3(X101,X102,X104)
| ~ r3(X101,X102,X104) )
& ( X104 = esk3_2(X101,X102)
| ~ r3(X101,X102,X104) )
& ( r3(X101,X102,X104)
| X104 != esk3_2(X101,X102) )
& ( X104 = esk3_2(X101,X102)
| X104 != esk3_2(X101,X102) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])])]) ).
cnf(c_0_20,plain,
r3(X1,esk14_1(X1),X1),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_21,plain,
esk14_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_22,plain,
! [X109,X110] :
( r2(X110,esk7_2(X109,X110))
& r3(X109,esk7_2(X109,X110),esk6_2(X109,X110))
& esk6_2(X109,X110) = esk5_2(X109,X110)
& r2(esk8_2(X109,X110),esk5_2(X109,X110))
& r3(X109,X110,esk8_2(X109,X110)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_1a])]) ).
fof(c_0_23,plain,
! [X98,X100] :
( ( r2(X98,X100)
| ~ r2(X98,X100) )
& ( X100 = esk2_1(X98)
| ~ r2(X98,X100) )
& ( r2(X98,X100)
| X100 != esk2_1(X98) )
& ( X100 = esk2_1(X98)
| X100 != esk2_1(X98) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])])]) ).
fof(c_0_24,negated_conjecture,
! [X139,X140,X141,X142,X143,X144,X145,X146,X147] :
( ~ r2(X141,X140)
| ~ r1(X142)
| ~ r2(X142,X141)
| ~ r4(X143,X140,X139)
| ~ r1(X144)
| ~ r2(X144,X143)
| X139 != X145
| ~ r2(X146,X145)
| ~ r1(X147)
| ~ r2(X147,X146) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_25,plain,
( X1 = esk3_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
r3(X1,esk1_0,X1),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
r3(X1,X2,esk8_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
r3(X1,esk7_2(X1,X2),esk6_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,plain,
esk6_2(X1,X2) = esk5_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,plain,
( X1 = esk2_1(X2)
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,plain,
r2(X1,esk7_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X3,X1)
| ~ r4(X4,X2,X5)
| ~ r1(X6)
| ~ r2(X6,X4)
| X5 != X7
| ~ r2(X8,X7)
| ~ r1(X9)
| ~ r2(X9,X8) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_33,plain,
! [X115,X116] :
( r2(X116,esk11_2(X115,X116))
& r4(X115,esk11_2(X115,X116),esk10_2(X115,X116))
& esk10_2(X115,X116) = esk9_2(X115,X116)
& r3(esk12_2(X115,X116),X115,esk9_2(X115,X116))
& r4(X115,X116,esk12_2(X115,X116)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_2a])]) ).
cnf(c_0_34,plain,
esk3_2(X1,esk1_0) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_35,plain,
esk3_2(X1,X2) = esk8_2(X1,X2),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_36,plain,
r3(X1,esk7_2(X1,X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_37,plain,
esk7_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,plain,
! [X128] :
( r1(esk16_1(X128))
& r4(X128,esk16_1(X128),esk15_1(X128))
& r1(esk17_1(X128))
& esk15_1(X128) = esk17_1(X128) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).
cnf(c_0_39,negated_conjecture,
( ~ r4(X1,X2,X3)
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r2(X6,X1)
| ~ r2(X7,X8)
| ~ r2(X8,X2)
| ~ r1(X4)
| ~ r1(X6)
| ~ r1(X7) ),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
r4(X1,X2,esk12_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,plain,
( r1(X1)
| X1 != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,plain,
r2(esk8_2(X1,X2),esk5_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_43,plain,
esk8_2(X1,esk1_0) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
( X1 = esk8_2(X2,X3)
| ~ r3(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_25,c_0_35]) ).
cnf(c_0_45,plain,
r3(X1,esk2_1(X2),esk5_2(X1,X2)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,plain,
r3(esk12_2(X1,X2),X1,esk9_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_47,plain,
r1(esk17_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
esk15_1(X1) = esk17_1(X1),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( ~ r2(X1,esk12_2(X2,X3))
| ~ r2(X4,X1)
| ~ r2(X5,X2)
| ~ r2(X6,X7)
| ~ r2(X7,X3)
| ~ r1(X4)
| ~ r1(X5)
| ~ r1(X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
r1(esk1_0),
inference(er,[status(thm)],[c_0_41]) ).
cnf(c_0_51,plain,
r2(X1,esk5_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_52,plain,
esk8_2(X1,esk2_1(X2)) = esk5_2(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_53,plain,
esk8_2(esk12_2(X1,X2),X1) = esk9_2(X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_46]) ).
fof(c_0_54,plain,
! [X10,X11] :
? [X12] :
! [X13] :
( ( ~ r4(X10,X11,X13)
& X13 != X12 )
| ( r4(X10,X11,X13)
& X13 = X12 ) ),
inference(fof_simplification,[status(thm)],[axiom_4]) ).
cnf(c_0_55,plain,
r1(esk16_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_56,plain,
r1(esk15_1(X1)),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( ~ r2(X1,esk12_2(X2,X3))
| ~ r2(esk1_0,X1)
| ~ r2(X4,X2)
| ~ r2(X5,X6)
| ~ r2(X6,X3)
| ~ r1(X4)
| ~ r1(X5) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_58,plain,
( r2(X1,X2)
| X2 != esk2_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_59,plain,
esk5_2(X1,esk1_0) = esk2_1(X1),
inference(spm,[status(thm)],[c_0_30,c_0_51]) ).
cnf(c_0_60,plain,
esk5_2(esk12_2(esk2_1(X1),X2),X1) = esk9_2(esk2_1(X1),X2),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_61,plain,
! [X105,X106,X108] :
( ( r4(X105,X106,X108)
| ~ r4(X105,X106,X108) )
& ( X108 = esk4_2(X105,X106)
| ~ r4(X105,X106,X108) )
& ( r4(X105,X106,X108)
| X108 != esk4_2(X105,X106) )
& ( X108 = esk4_2(X105,X106)
| X108 != esk4_2(X105,X106) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_54])])]) ).
cnf(c_0_62,plain,
r4(X1,esk16_1(X1),esk15_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_63,plain,
esk16_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_15,c_0_55]) ).
cnf(c_0_64,plain,
esk15_1(X1) = esk1_0,
inference(spm,[status(thm)],[c_0_15,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( ~ r2(X1,esk12_2(X2,X3))
| ~ r2(esk1_0,X1)
| ~ r2(esk1_0,X2)
| ~ r2(X4,X5)
| ~ r2(X5,X3)
| ~ r1(X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_50]) ).
cnf(c_0_66,plain,
r2(X1,esk2_1(X1)),
inference(er,[status(thm)],[c_0_58]) ).
cnf(c_0_67,plain,
esk2_1(esk12_2(esk2_1(esk1_0),X1)) = esk9_2(esk2_1(esk1_0),X1),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
( X1 = esk4_2(X2,X3)
| ~ r4(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,plain,
r4(X1,esk1_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( ~ r2(X1,esk12_2(X2,X3))
| ~ r2(esk1_0,X1)
| ~ r2(esk1_0,X2)
| ~ r2(esk1_0,X4)
| ~ r2(X4,X3) ),
inference(spm,[status(thm)],[c_0_65,c_0_50]) ).
cnf(c_0_71,plain,
r2(esk12_2(esk2_1(esk1_0),X1),esk9_2(esk2_1(esk1_0),X1)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
r4(X1,esk11_2(X1,X2),esk10_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_73,plain,
esk10_2(X1,X2) = esk9_2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_74,plain,
r2(X1,esk11_2(X2,X1)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_75,plain,
esk4_2(X1,esk1_0) = esk1_0,
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,plain,
esk4_2(X1,X2) = esk12_2(X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_40]) ).
cnf(c_0_77,negated_conjecture,
( ~ r2(X1,esk12_2(X2,esk9_2(esk2_1(esk1_0),X3)))
| ~ r2(esk1_0,esk12_2(esk2_1(esk1_0),X3))
| ~ r2(esk1_0,X1)
| ~ r2(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_78,plain,
r4(X1,esk11_2(X1,X2),esk9_2(X1,X2)),
inference(rw,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
esk11_2(X1,X2) = esk2_1(X2),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
cnf(c_0_80,plain,
esk12_2(X1,esk1_0) = esk1_0,
inference(rw,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( ~ r2(esk2_1(esk1_0),esk12_2(X1,esk9_2(esk2_1(esk1_0),X2)))
| ~ r2(esk1_0,esk12_2(esk2_1(esk1_0),X2))
| ~ r2(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_66]) ).
cnf(c_0_82,plain,
( X1 = esk12_2(X2,X3)
| ~ r4(X2,X3,X1) ),
inference(rw,[status(thm)],[c_0_68,c_0_76]) ).
cnf(c_0_83,plain,
r4(X1,esk2_1(X2),esk9_2(X1,X2)),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,plain,
r3(esk1_0,X1,esk9_2(X1,esk1_0)),
inference(spm,[status(thm)],[c_0_46,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( ~ r2(esk2_1(esk1_0),esk12_2(esk2_1(esk1_0),esk9_2(esk2_1(esk1_0),X1)))
| ~ r2(esk1_0,esk12_2(esk2_1(esk1_0),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_66]) ).
cnf(c_0_86,plain,
esk12_2(X1,esk2_1(X2)) = esk9_2(X1,X2),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,plain,
esk8_2(esk1_0,X1) = esk9_2(X1,esk1_0),
inference(spm,[status(thm)],[c_0_44,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( ~ r2(esk2_1(esk1_0),esk12_2(esk2_1(esk1_0),esk9_2(esk2_1(esk1_0),esk2_1(X1))))
| ~ r2(esk1_0,esk9_2(esk2_1(esk1_0),X1)) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,plain,
esk9_2(esk2_1(X1),esk1_0) = esk5_2(esk1_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
~ r2(esk2_1(esk1_0),esk12_2(esk2_1(esk1_0),esk9_2(esk2_1(esk1_0),esk2_1(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_59]),c_0_66])]) ).
cnf(c_0_91,plain,
esk9_2(esk2_1(esk1_0),esk2_1(X1)) = esk2_1(esk9_2(esk2_1(esk1_0),X1)),
inference(spm,[status(thm)],[c_0_67,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91]),c_0_89]),c_0_59]),c_0_86]),c_0_91]),c_0_89]),c_0_59]),c_0_66])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN072+2 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n029.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:22:44 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.42/1.75 % Version : CSE_E---1.7
% 1.42/1.75 % Problem : theBenchmark.p
% 1.42/1.75 % SZS status Theorem for theBenchmark.p
% 1.42/1.75 % SZS output start CNFRefutation
% See solution above
% 1.42/1.76 % Total time : 1.368s
%------------------------------------------------------------------------------